Raising a Power to a Power Answers

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Lauren simplified the expression as shown. Which statement explains Lauren’s error?

Question illustration
A
She should have subtracted the exponents instead of adding them.
B
She should have multiplied the exponents instead of adding them.
C
She should have found –2, not , as the exponent when she added.
Option C
D
She should have written as .
Option D
2
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Which expression is equivalent to ?

Question illustration
A
q cubed
Option A
B
q Superscript 8
Option B
C
q Superscript 12
Option C
D
q Superscript 36
Option D
3

Raj is simplifying using these steps:Although Raj is correct so far, which step could he have used instead to simplify the expression ?

Question illustration
A
5 Superscript 4 times 3 Baseline = 5 Superscript 12
Option A
B
5 Superscript 4 + 3 Baseline = 5 Superscript 7
Option B
C
4 Superscript 5 times 3 Baseline = 4 Superscript 15
Option C
D
4 Superscript 5 + 3 Baseline = 4 Superscript 8
Option D
4

Which expressions are equivalent to ? Check all that apply.

Question illustration
A
(6 Superscript 0 Baseline) Superscript 16
Option A
B
(6 Superscript 8 Baseline) Superscript 8
Option B
C
(6 Superscript negative 4 Baseline) Superscript negative 4
Option C
D
(6 Superscript negative 2 Baseline) Superscript negative 8
Option D
E
(6 Superscript negative 1 Baseline) Superscript 16
Option E
F
(6 Superscript 8 Baseline) squared
Option F

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